{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "nbsphinx": "hidden"
   },
   "source": [
    "# Random Signals\n",
    "\n",
    "*This jupyter notebook is part of a [collection of notebooks](../index.ipynb) on various topics of Digital Signal Processing. Please direct questions and suggestions to [Sascha.Spors@uni-rostock.de](mailto:Sascha.Spors@uni-rostock.de).*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stationary Random Processes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Definition\n",
    "\n",
    "When the average statistical properties of a random process do not depend on the time index $k$, this process is termed as [*stationary random process*](https://en.wikipedia.org/wiki/Stationary_process). This can be expressed formally as\n",
    "\n",
    "\\begin{equation}\n",
    "E\\{ f(x[k_1], x[k_2], \\dots) \\} = E\\{ f(x[k_1 + \\Delta], x[k_2 + \\Delta], \\dots) \\},\n",
    "\\end{equation}\n",
    "\n",
    "where $\\Delta \\in \\mathbb{Z}$ denotes an arbitrary shift of the sample index $k$. Above condition has to hold for all possible mapping functions $f(\\cdot)$. From this definition it becomes clear that\n",
    "\n",
    "* random signals of finite length and\n",
    "* deterministic signals $s[k] \\neq C$ with $C \\in \\mathbb{R}$\n",
    "\n",
    "cannot be stationary random processes in a strict sense. However, in practice it is often assumed to be sufficient if above condition holds within a finite interval of sample indexes of a random signal."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cumulative Distribution Functions and Probability Density Functions\n",
    "\n",
    "It follows from above definition of a stationary process, that the univariate cumulative distribution function (CDF) of a stationary random process does not depend on the time index $k$\n",
    "\n",
    "\\begin{equation}\n",
    "P_x(\\theta, k) = P_x(\\theta).\n",
    "\\end{equation}\n",
    "\n",
    "The same holds for the univariate probability density function (PDF)\n",
    "\n",
    "\\begin{equation}\n",
    "p_x(\\theta, k) = p_x(\\theta).\n",
    "\\end{equation}\n",
    "\n",
    "The bivariate CDF of two stationary random signals $x[k]$ and $y[k]$ depends only on the difference $\\kappa = k_x - k_y$\n",
    "\n",
    "\\begin{equation}\n",
    "P_{xy}(\\theta_x, \\theta_y, k_x, k_y) = P_{xy}(\\theta_x, \\theta_y, \\kappa).\n",
    "\\end{equation}\n",
    "\n",
    "The same holds for the bivariate PDF\n",
    "\n",
    "\\begin{equation}\n",
    "p_{xy}(\\theta_x, \\theta_y, k_x, k_y) = p_{xy}(\\theta_x, \\theta_y, \\kappa).\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### First-Order Ensemble Averages\n",
    "\n",
    "According to above definition of stationarity, for the first-order ensemble average of a stationary process the following relation must hold\n",
    "\n",
    "\\begin{equation}\n",
    "E\\{ f(x[k]) \\} = E\\{ f(x[k + \\Delta]) \\},\n",
    "\\end{equation}\n",
    "\n",
    "hence, it does not depend on the time index $k$. For the linear mean this yields \n",
    "\n",
    "\\begin{equation}\n",
    "\\mu_x[k] = \\mu_x\n",
    "\\end{equation}\n",
    "\n",
    "and for the variance we get\n",
    "\n",
    "\\begin{equation}\n",
    "\\sigma_x^2[k] = \\sigma_x^2.\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cross- and Auto-Correlation Function\n",
    "\n",
    "By introducing the PDF's properties for a stationary process into their definitions, it follows for the cross-correlation function (CCF) with $\\kappa = k_x - k_y$\n",
    "\n",
    "\\begin{equation}\n",
    "\\varphi_{xy}[k_x, k_y] = \\varphi_{xy}[\\kappa] = E\\{ x[k] \\cdot y[k-\\kappa]\\} = E\\{ x[k+\\kappa] \\cdot y[k]\\}\n",
    "\\end{equation}\n",
    "\n",
    "and for the auto-correlation function (ACF) with $\\kappa = k_1 - k_2$\n",
    "\n",
    "\\begin{equation}\n",
    "\\varphi_{xx}[k_1, k_2] = \\varphi_{xx}[\\kappa] = E\\{ x[k] \\cdot x[k-\\kappa]\\} = E\\{ x[k+\\kappa] \\cdot x[k]\\}.\n",
    "\\end{equation}\n",
    "\n",
    "Note that definition with respect to $\\kappa$ and indices $_{xy}$ might vary in literature, so it is worth to ensure which signal is shifted into which direction. Our convention is consistent with Matlab's `xcorr()` and Python's `scipy.signal.correlate()`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Wide-Sense Stationary Random Processes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Definition\n",
    "\n",
    "The definition of a stationary random process in the previous section must hold for any mapping function $f(\\cdot)$. In practice this cannot be checked in a strict sense. For a wide-sense stationary (WSS) random process the conditions for stationarity must hold only for linear mappings. This leads to the following two conditions, a WSS random process has to fulfill\n",
    "\n",
    "\\begin{equation}\n",
    "E\\{ x[k_1] \\cdot x[k_2] \\} = E\\{ x[k_1 + \\Delta] \\cdot x[k_2 + \\Delta] \\}\n",
    "\\end{equation}\n",
    "\n",
    "and\n",
    "\n",
    "\\begin{equation}\n",
    "E\\{ x[k] \\} = E\\{ x[k + \\Delta] \\}.\n",
    "\\end{equation}\n",
    "\n",
    "A random signal of finite length cannot be WSS in a strict sense."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example - Evaluation of Wide-Sense Stationarity\n",
    "\n",
    "Due to above definition of the characteristics of a WSS process it is sufficient to check the time dependence of the linear mean $x_\\mu[k]$ and the auto-correlation function $\\varphi_{xx}[k_1, k_2]$. Both quantities are estimated and plotted for two different random processes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 1000x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "L = 64  # number of random samples\n",
    "N = 1000  # number of sample functions\n",
    "\n",
    "\n",
    "def compute_plot_results(x):\n",
    "    \"\"\"Compute and plot linear mean and ACF of random process.\"\"\"\n",
    "\n",
    "    # estimate linear mean by ensemble average\n",
    "    mu = 1 / N * np.sum(x, 0)\n",
    "    # estimate the auto-correlation function\n",
    "    acf = np.zeros((L, L))\n",
    "    for n in range(L):\n",
    "        for m in range(L):\n",
    "            acf[n, m] = 1 / N * np.sum(x[:, n] * x[:, m], 0)\n",
    "\n",
    "    plt.subplot(121)\n",
    "    plt.stem(mu, basefmt=\"C0:\")\n",
    "    plt.title(r\"Estimate of linear mean $\\hat{\\mu}_x[k]$\")\n",
    "    plt.xlabel(r\"$k$\")\n",
    "    plt.ylabel(r\"$\\hat{\\mu}[k]$\")\n",
    "    plt.axis([0, L, -1.5, 1.5])\n",
    "\n",
    "    plt.subplot(122)\n",
    "    plt.pcolor(np.arange(L + 1), np.arange(L + 1), acf, vmin=-1, vmax=3)\n",
    "    plt.title(r\"Estimate of ACF $\\hat{\\varphi}_{xx}[k_1, k_2]$\")\n",
    "    plt.xlabel(r\"$k_1$\")\n",
    "    plt.ylabel(r\"$k_2$\")\n",
    "    plt.colorbar()\n",
    "    plt.autoscale(tight=True)\n",
    "\n",
    "\n",
    "# generate sample functions\n",
    "np.random.seed(1)\n",
    "x = np.random.normal(size=(N, L))\n",
    "x1 = x + np.tile(np.cos(2 * np.pi / L * np.arange(L)), [N, 1])\n",
    "h = 2 * np.fft.irfft([1, 1, 1, 0, 0, 0])  # simple lowpass filter\n",
    "x2 = np.asarray([np.convolve(x[n, :], h, mode=\"same\") for n in range(N)])\n",
    "\n",
    "# plot results\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.gcf().suptitle(\"Random Process 1\", fontsize=12, y=1.05)\n",
    "compute_plot_results(x1)\n",
    "\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.gcf().suptitle(\"Random Process 2\", fontsize=12, y=1.05)\n",
    "compute_plot_results(x2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise**\n",
    "\n",
    "* Which process can be assumed to be WSS? Why?\n",
    "* Increase the number `N` of sample functions. Do the results support your initial assumption? \n",
    "\n",
    "Solution: Inspection of the estimated linear mean $\\hat{\\mu}_x[k]$ for the first random process reveals that it is highly dependent on the sample index $k$. The same holds for the ACF which depends on both sample indices $k_1$ and $k_2$. For the second random process, the estimated linear mean can be assumed to be approximately zero. Its ACF depends approximately only on the difference $\\kappa = k_1 - k_2$, as can be concluded from the diagonal structures in the plot. Increasing the number of sample functions $N$ increases the certainty of the estimates in the statistical sense."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Higher-Order Temporal Averages\n",
    "\n",
    "Ensemble averages are defined as the average across all sample functions $x_n[k]$ for a particular time index $k$. So far, averaging over the sample index $k$ of one sample function was not considered. Such averaging is commonly termed as temporal averaging since the sample index $k$ represents time in many cases. For a stationary process, the higher-order temporal average along the $n$-th sample function is defined as\n",
    "\n",
    "\\begin{equation}\n",
    "\\overline{ f(x_n[k], x_n[k-\\kappa_1], x_n[k-\\kappa_2], \\dots) } = \\lim_{K \\to \\infty} \\frac{1}{2K + 1} \\sum_{k = -K}^{K} f(x_n[k], x_n[k-\\kappa_1], x_n[k-\\kappa_2], \\dots)\n",
    "\\end{equation}\n",
    "\n",
    "where $\\kappa_i \\in \\mathbb{Z} \\; \\forall i$. The introduced statistical measures, like the linear mean, variance and correlation functions, can be computed for each sample function by temporal averaging using a dedicated mapping functions $f(\\cdot)$. The linear mean as temporal average of the $n$-th sample function $x_n[k]$ is for instance given by\n",
    "\n",
    "\\begin{equation}\n",
    "\\overline{x_n[k]} = \\lim_{K \\to \\infty} \\frac{1}{2K + 1} \\sum_{k = -K}^{K} x_n[k].\n",
    "\\end{equation}\n",
    "\n",
    "Furthermore, the quadratic mean from simple quadratic mapping is given as\n",
    "\\begin{equation}\n",
    "\\lim_{K \\to \\infty} \\frac{1}{2K + 1} \\sum_{k = -K}^{K} x^2_n[k],\n",
    "\\end{equation}\n",
    "\n",
    "the variance is given as\n",
    "\\begin{equation}\n",
    "\\lim_{K \\to \\infty} \\frac{1}{2K + 1} \\sum_{k = -K}^{K} (x_n[k]-\\overline{x_n[k]})^2,\n",
    "\\end{equation}\n",
    "\n",
    "the cross-correlation as\n",
    "\\begin{equation}\n",
    "\\lim_{K \\to \\infty} \\frac{1}{2K + 1} \\sum_{k=-K}^{K} x[k] \\cdot y[k-\\kappa],\n",
    "\\end{equation}\n",
    "\n",
    "and the auto-correlation as\n",
    "\\begin{equation}\n",
    "\\lim_{K \\to \\infty} \\frac{1}{2K + 1} \\sum_{k=-K}^{K} x[k] \\cdot x[k-\\kappa].\n",
    "\\end{equation}\n",
    "\n",
    "These equations hold for power signals. Virtually all random signals are power signals rather than energy signals. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ergodic Random Processes\n",
    "\n",
    "An [ergodic process](https://en.wikipedia.org/wiki/Ergodic_process) is a stationary random process whose higher-order temporal averages of all sample functions are equal to the ensemble averages\n",
    "\n",
    "\\begin{equation}\n",
    "\\overline{ f(x_n[k], x_n[k-\\kappa_1], x_n[k-\\kappa_2], \\dots) } = E\\{  f(x[k], x[k-\\kappa_1], x[k-\\kappa_2], \\dots)  \\} \\;\\; \\forall n.\n",
    "\\end{equation}\n",
    "\n",
    "This implies that all higher-order temporal averages are equal to the higher-order ensemble averages. Any sample function from the process represents the average statistical properties of the entire process. The ensemble averages for a stationary and ergodic random process are given by the temporal averages of one sample function. This result is very important for the practical computation of statistical properties of random signals."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Wide-Sense Ergodic Random Processes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Definition\n",
    "\n",
    "As for a WSS process, the conditions for ergodicity have to hold only for linear mappings $f(\\cdot)$. Under the assumption of a WSS process, the following two conditions have to be met by a wide-sense ergodic random process\n",
    "\n",
    "\\begin{equation}\n",
    "\\overline{ x_n[k] \\cdot x_n[k-\\kappa] } = E\\{  x[k] \\cdot x[k-\\kappa]  \\} \\;\\; \\forall n\n",
    "\\end{equation}\n",
    "\n",
    "and\n",
    "\n",
    "\\begin{equation}\n",
    "\\overline{ x_n[k] } = E\\{  x[k] \\} \\;\\; \\forall n.\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example - Evaluation of Wide-Sense Ergodicity\n",
    "\n",
    "In the following example, the linear mean and autocorrelation function are computed as temporal and ensemble averages for three random processes. The plots show the estimated temporal averages $\\overline{ x_n[k] }$ and $\\overline{ x_n[k] \\cdot x_n[k-\\kappa] }$ on the right-hand side of the sample functions $x_n[k]$. Note, the linear mean as temporal average is a scalar value whose value is illustrated by a bar plot. The estimated ensemble averages $E\\{  x[k] \\}$ and $E\\{  x[k_1] \\cdot x[k_2]  \\}$ are shown below the sample functions to indicate the averaging across sample functions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "L = 64  # number of random samples\n",
    "N = 10000  # number of sample functions\n",
    "\n",
    "\n",
    "def compute_plot_results(x):\n",
    "    \"\"\"Compute and plot linear mean and ACF of random process.\"\"\"\n",
    "\n",
    "    N, L = x.shape\n",
    "    # estimate linear mean by ensemble average\n",
    "    mu = 1 / N * np.sum(x, 0)\n",
    "    # estimate the auto-correlation function by ensemble average\n",
    "    acf = np.zeros((L, L))\n",
    "    for n in range(L):\n",
    "        for m in range(L):\n",
    "            acf[n, m] = 1 / N * np.sum(x[:, n] * x[:, m], 0)\n",
    "    # estimate linear mean as temporal average\n",
    "    mut = 1 / L * np.sum(x, 1)\n",
    "    # estimate the auto-correlation function as temporal average\n",
    "    acft = np.zeros((N, L))\n",
    "    for n in range(N):\n",
    "        acft[n, :] = np.correlate(x[n, :], x[n, :], mode=\"same\")\n",
    "    kappa = np.arange(L) - L // 2\n",
    "\n",
    "    for n in range(2):\n",
    "        plt.figure(figsize=(10, 5))\n",
    "        plt.subplot(131)\n",
    "        plt.stem(x[n, :], basefmt=\"C0:\")\n",
    "        plt.title(r\"Sample function $x_%d[k]$\" % n)\n",
    "        plt.xlabel(r\"$k$\")\n",
    "        plt.ylabel(r\"$x_%d[k]$\" % n)\n",
    "        plt.axis([0, L, -4, 4])\n",
    "\n",
    "        plt.subplot(132)\n",
    "        bar = plt.bar(0, mut[n], tick_label=\"\")\n",
    "        plt.text(\n",
    "            0,\n",
    "            mut[n] + np.sign(mut[n]) * 0.15,\n",
    "            r\"$\\hat{{\\mu}}_{{x,{:d}}} = {:2.2f}$\".format(n, mut[n]),\n",
    "            ha=\"center\",\n",
    "            va=\"bottom\",\n",
    "        )\n",
    "        plt.title(r\"Linear mean $\\overline{ x_%d[k] }$\" % n)\n",
    "        plt.axis([-0.5, 0.5, -1.5, 1.5])\n",
    "\n",
    "        plt.subplot(133)\n",
    "        plt.stem(kappa, acft[n, :], basefmt=\"C0:\")\n",
    "        plt.title(\n",
    "            r\"Autocorrelation $\\overline{ x_%d[k] \\cdot x_%d[k-\\kappa] }$\" % (n, n)\n",
    "        )\n",
    "        plt.xlabel(r\"$\\kappa$\")\n",
    "        plt.ylabel(r\"$\\hat{\\varphi}_{xx,%d}[\\kappa]$\" % n)\n",
    "        plt.axis([-L // 2, L // 2, -30, 150])\n",
    "        plt.tight_layout()\n",
    "\n",
    "    plt.figure(figsize=(10, 5))\n",
    "    plt.subplot(131)\n",
    "    plt.stem(mu)\n",
    "    plt.title(r\"Linear mean $E\\{  x[k] \\}$\")\n",
    "    plt.xlabel(r\"$k$\")\n",
    "    plt.ylabel(r\"$\\hat{\\mu}[k]$\")\n",
    "    plt.axis([0, L, -1.5, 1.5])\n",
    "\n",
    "    plt.figure(figsize=(4, 4))\n",
    "    plt.pcolor(np.arange(L + 1), np.arange(L + 1), acf, vmin=-1.5, vmax=2.5)\n",
    "    plt.title(r\"ACF $E\\{  x[k_1] \\cdot x[k_2]  \\}$\")\n",
    "    plt.xlabel(r\"$k_1$\")\n",
    "    plt.ylabel(r\"$k_2$\")\n",
    "    plt.colorbar()\n",
    "    plt.autoscale(tight=True)\n",
    "\n",
    "\n",
    "# generate sample functions\n",
    "np.random.seed(11)\n",
    "x = np.random.normal(size=(N, L))\n",
    "k = np.arange(L)\n",
    "x1 = x + np.tile(np.cos(2 * np.pi / L * k), [N, 1])\n",
    "x2 = x + np.tile([np.ones(L), -np.ones(L)], [N // 2, 1])\n",
    "x3 = x + np.ones([N, L])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Random Process 1**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1000x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 400x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "compute_plot_results(x1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Random Process 2**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 400x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "compute_plot_results(x2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Random Process 3**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 400x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "compute_plot_results(x3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise**\n",
    "\n",
    "* Which process can be assumed to be stationary and/or ergodic? Why?\n",
    "\n",
    "Solution: \n",
    "\n",
    "1. The linear mean $\\mu_x[k]$ estimated by the ensemble average of the first process depends on the sample index $k$. Consequently, this process is not stationary and also not ergodic.\n",
    "\n",
    "2. Inspection of the linear mean and auto-correlation function estimated by the ensemble averages of the second random process reveals that it can be assumed to be WSS. The linear mean as temporal average of the sample functions is not constant with respect to the sample functions. Consequently, this process can be assumed to be WSS but not ergodic. \n",
    "\n",
    "3. The third process can be assumed to be wide-sense stationary and ergodic."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "nbsphinx": "hidden"
   },
   "source": [
    "**Copyright**\n",
    "\n",
    "This notebook is provided as [Open Educational Resource](https://en.wikipedia.org/wiki/Open_educational_resources). Feel free to use the notebook for your own purposes. The text is licensed under [Creative Commons Attribution 4.0](https://creativecommons.org/licenses/by/4.0/), the code of the IPython examples under the [MIT license](https://opensource.org/licenses/MIT). Please attribute the work as follows: *Sascha Spors, Digital Signal Processing - Lecture notes featuring computational examples*."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
